Find the surface area of a water tower that is 40 feet tall and 20 feet across the base

Answer:

minimum sample size = 97

Step-by-step explanation:

Margin of error = 20

standard deviation = 100

sample size = n

standard error = 100/sqrt(n)

confidence level, alpha = 95%

Using the standard rule for 95% confidence

standard error <= sample mean \(\pm\) 1.96 standard error, or

20 <= 1.96*100 / sqrt(n)

n >= (1.96*100/20)^2 = 9.8^2 = 96.04  

=>

n >= 97

Answer:

Trisha has two boxes of marbles than

to find probability

use formula

probability =no.of given marble/total no of marble

Step-by-step explanation:

2 ft = 24 inch

3 ft = 36 inch

The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

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Answer:

question 1: attached below

question 2: DE^2 + EF^2 = DF^2

Step-by-step explanation:

question 2:

Pythagoras Theorem is,

a^2 + b^2 = c^2 so

DE^2 + EF^2 = DF^2

you were right !

question 3:

I don't see anything wrong here either

Answer:

Part A

Please see the attached drawings.

Part B

Pythagoras' Theorem:  a² + b² = c²

applicable to a right triangle, where:

Therefore,

⇒ DE² + EF² = DF²

Part C

As you have not given the options for each drop down selection, it is difficult to determine if you have selected the correct option for each.  There may be more correct/appropriate answers to some of the options you have selected.

The required individual functions are given as g(x) = x⁴- 6 and f(x) = \(\sqrt[7]{x}\).

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given funciton
h(x) = (f o g) (x)

Where g(x) = x⁴- 6 and h(x) = \(\sqrt[7]{x^4-6}\)

Since, put h(x) ⇒ f(x) and  g(x) = x⁴- 6
f(x) =  \(\sqrt[7]{g(x)}\)

Again put g(x) ⇒ x
f(x) = \(\sqrt[7]{x}\)

Thus, the required individual functions are given as f(x) = x⁴- 6 and g(x) = \(\sqrt[7]{x}\).

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Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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Here we have a dilation of scale factor 2.

We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.

To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:

L' = K*L

Here if we use the left sides, we will get:

for figure A; L= 2

for figure B: L = 4

4 = K*2

4/2 = K

2 = K

So this is a dilation of scale factor k = 2.

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Answer:

millions

Step-by-step explanation:

the possibilities are endless

Answer:

There are 40 green marbles and 28 blue marbles.

Step-by-step explanation:

There are 68 marbles in the bag. At LEAST 40 are green, therefore 68-40=28. So we have 28 blue marbles

The two points that could be used to plot the graph of the function (0, -0.4) and (-0.874, 0)

In this question, we have been given a function f(x) = (3x³ + 2)/(x^2-5).

We need to plot the graph of the function.

We find some coordinates of point on the graph of function.

For x = 0,

f(0) =  (30³ + 2)/(0^2-5)

f(0) = 2/(-5)

f(0) = -0.4

For f(x) = 0,

0 = (3x³ + 2)/(x^2-5)

(3x³ + 2) = 0

3x³ = -2

x = -0.874

for x = 1,

f(1) = (3(1)³ + 2)/(1^2-5)

f(1) = 5/(1 - 5)

f(1) = 5/(-4)

f(1) = -1.25

The graph of function f(x) = (3x³ + 2)/(x2-5) is as shown below.

Therefore, the two points that could be used to plot the graph of the function (0, -0.4) and (-0.874, 0)

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All 3 angles add up to 180 degrees.

so 40 + 2x + 3x = 180

40 + 5x = 180

5x = 140

x = 28

So angle A = 2x = 2(28) = 56 degrees.

Answer: 56°

Step-by-step explanation:

We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.

     Given:

           2x + 3x + 40 = 180

     Combine like terms:

           5x + 40 = 180

     Subtract 40 from both sides of the equation:

           5x = 140

     Divide both sides of the equation by 5:

           x = 28

Next, we will substitute this value of x into the expression for ∠A.

     ∠A = 2x = 2(28) = 56°

The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.

Step 1: State the hypotheses.

- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).

- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).

Step 2: Compute the value of the test statistic.

To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).

The formula for the z-test statistic is:

z = (X- μ) / (σ / √n)

Where:

X is the sample mean (4.21 cm),

μ is the population mean (4.00 cm),

σ is the population standard deviation (0.83 cm), and

n is the sample size (121).

Plugging in the values, we get:

z = (4.21 - 4.00) / (0.83 / √121)

z = 0.21 / (0.83 / 11)

z = 0.21 / 0.0753

z ≈ 2.79 (rounded to two decimal places)

Step 3: Determine the critical value and make a decision.

With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.

For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).

Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.

Conclusion:

Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.

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Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours

This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.

Let's assume that Sarah worked x hours.

Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.

Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.

Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.

The total number of shirts ironed by both Sarah and Penelope is 475 shirts.

So, we can write the equation: 30x + (35/2)x = 475.

To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.

Now, we can solve for x: x = (475 * 2) / 95 = 10.

Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.

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Answer:

3

Step-by-step explanation:

subtract 4 from 1/6 of 42. In middle school my traxhers always told me that of menas multiply, and in this situation it still holds. 1/6 x 42 is 42/6 or 42 divided by 6 which is 7. So now that makes this simpler, its saying subtract 4 from 7, so 7-4 =3

Answer:

Step-by-step explanation:

I'll use y for quantity and x for price [love my x and y] and rewrite the demand and supply functions:

Demand:    y=1204−11x

Supply:       y = -3 + 6x

==

We want to know the equilibrium price and quantity.  The quantities purchased and sold would be equal to the quantities supplied:

  1204−11x = -3 + 6x

-17x = - 1207

 x = 71  The price of a widget is 71 units ($, €,£,¥, etc.) at equilibrium

A price of 71 would lead to a demand and supply of:

y = 1204−11x

y = 1204−11(71)

y = 423 Widgets

We can also plot this to find the point (71,423).  See the attachment.

At this point, I'm uncertain how to answer the "producer surplus" and "unmet demand" at equilibrium.  This is what I did, so please judge if it is correct.

The demand line, y=1204−11x, tells us that if the price were 0, the demand would be 1204, which I'll assume in the maximum, since it is stipulated that x > 0  (I imagine it may no longer be a straight line when the price goes into negative territory.  I'd be the first in line to accept a widget and $5 if they were priced at -$5).

At equilibrium, therefore, we would still have an unmet demand of (1204 - 423) or 781 widgets that customers wanted, but wouldn't pay the price.

It seems to me that this would also be the unmet demand:  Product that could have been sold, but wasn't, due to the price.  I'm unsure, however.

Answer:

c

Step-by-step explanation:

Answer:

6m

Step-by-step explanation:

12m+18m^2

6m(2+3m)

Answer:

Your second answer, otherwise know as 1 in. : 4ft. is the answer.

Step-by-step explanation:

The new map is 3 times bigger than the old map, therefore your given scale for the first map will shrink by 3 to compensate for the new map being bigger. Divide 12ft by 3 and you get 4 ft., so your answer is 1in. : 4ft.

Answer:

Step-by-step explanation:

Given function to be graphed is,

f(x) = -0.25x + 4

Table for the graph of the given function will be,

x        -2         0         2          4           6          8

f(x)     4.5       4        3.5        3          2.5        0

Now we can plot these points on the graph to find a line.

Graph of the linear function will be as the graph attached.

Answer:

Step-by-step explanation:

I took the test

let's firstly convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{3\frac{2}{3}}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}}~\hfill \stackrel{mixed}{2\frac{1}{4}} \implies \cfrac{2\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{11}{3}-\left( \cfrac{9}{4} \right)\implies -\cfrac{11}{3}+\cfrac{9}{4}\implies \cfrac{-(4)11~~ + ~~(3)9}{\underset{\textit{using this LCD}}{12}} \\\\\\ \cfrac{-44+27}{12}\implies \cfrac{-17}{12}\implies {\Large \begin{array}{llll} -1\frac{5}{12} \end{array}}\)

The probability of getting one 6 on four rolls of a single die is 0.517

The number of rolls = 4

The probability of getting one 6 on four rolls of a single die = 1 - The probability of not getting one 6 on four rolls of a single die.

We know probability = Number of favorable outcomes / Total outcomes

In first throw,

The probability of not getting the number 6 = 5/6

Next three throws are independent events

Therefore,

The probability of not getting one 6 on four rolls of a single die = (5/6) × (5/6) × (5/6) × (5/6) = 625/1296

The probability of getting one 6 on four rolls of a single die = 1 - 625/1296

= 671/1296

= 0.517

Hence, the probability of getting one 6 on four rolls of a single die is 0.517

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Answer: C

Step-by-step explanation:

Answer:

2(x² + 5)

Step-by-step explanation:

To factor 2x² + 10, we can first factor out the greatest common factor of the terms, which is 2:

2x² + 10 = 2(x² + 5)

We can't factor anymore, so the answer is:

2(x² + 5)

Answer:

2(x² + 5)

Step-by-step explanation:

To factorise this, do the distributive property backwards. In other words:

2x² + 10

2x² ÷ 2 + 10 ÷ 2

x² + 5

2(x² + 5)

∴ 2(x² + 5) is the answer

Refer to the attachment for graph

Algebraic way

\(\\ \rm\Rrightarrow 2x-3y=12\)

\(\\ \rm\Rrightarrow \dfrac{x}{6}-\dfrac{y}{4}=1\)

Compare to intercept form

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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Answer:

yes

Step-by-step explanation:

it goes by 4s, so number cases times 4

Answer: Turtle Camera

Step-by-step explanation:

The Turtle is the closest to 0, at around 5. Everything else is higher.

Hope that helped,

-sirswagger21

P.S. Please mark this as brainliest answer, it would help a lot!

Relative to sea level, turtle camera is the highest.

A fraction that has the numerator higher than or equal to the denominator is said to be an improper fraction.

Given:

The table lists the locations of four underwater cameras relative to sea level.

Dolphin camera = -12.33 feet.

Fish camera = -15.33 feet.

Manatee camera = -8.5 feet.

Turtle camera = -5.5 feet.

That means, the turtle camera is highest.

Therefore, turtle camera is highest.

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Answer:

308.67 cm ^ 3 / week

Step-by-step explanation:

A cantaloupe is approximately a sphere, therefore its approximate volume would be:

V = (4/3) * pi * (r ^ 3)

They tell us that dr / dt 0.5 cm / week and the radius is 6.4 cm

if we derive the formula from the volume we are left with:

dV / dt = (4/3) * pi * d / dr [(r ^ 3)]

dV / dt = (4/3) * pi * 3 * (r ^ 2) * dr / dt

dV / dt = 4 * pi * (r ^ 2) * dr / dt

we replace all the values and we are left with:

dV / dt = 4 * 3.14 * (6.4 ^ 2) * 0.6

dV / dt = 308.67

Therefore the volume is changing at a rate of 308.67 cm ^ 3 / week